{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import re"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pylab import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pythonlib import boolean as boolean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random as random #random could be destroyed by matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show_nparray(nparray):\n",
    "    fig,axs=plt.subplots(nrows=1, ncols=1)\n",
    "    axs.imshow((nparray),vmin=0,vmax=1)\n",
    "    axs.set_title('array')\n",
    "    axs.set_axis_off()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a=(np.random.rand(15,9))>0.5\n",
    "b=(np.random.rand(3,3))>0.3\n",
    "\n",
    "show_nparray(a)\n",
    "show_nparray(b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "res=boolean.convolution(boolean.otimes_bv_bv,a,b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ True, False,  True, False,  True,  True,  True],\n",
       "       [ True, False,  True, False,  True, False, False],\n",
       "       [False, False,  True, False,  True, False,  True],\n",
       "       [False,  True, False,  True, False, False, False],\n",
       "       [False,  True, False, False, False,  True,  True],\n",
       "       [False, False, False, False, False, False,  True],\n",
       "       [False, False, False, False,  True, False,  True],\n",
       "       [False, False, False, False,  True, False,  True],\n",
       "       [ True, False,  True, False,  True, False,  True],\n",
       "       [ True, False, False, False, False, False, False],\n",
       "       [False,  True, False, False,  True,  True, False],\n",
       "       [False,  True,  True, False,  True, False,  True],\n",
       "       [False,  True,  True, False,  True,  True,  True]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_nparray(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_bool_charactor(c):\n",
    "    if c=='1':\n",
    "        return True\n",
    "    else:\n",
    "        return False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_bool_string(s):\n",
    "    return[to_bool_charactor(x) for x in s]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "def file2matrix(path):\n",
    "    fp=open(path,'r')\n",
    "    content=fp.read()\n",
    "    rowlist=content.splitlines()\n",
    "    x=np.array([to_bool_string(x) for x in rowlist])\n",
    "    \n",
    "    return x\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "root = \"trainingDigits16x\" #数据文件所在路径\\n\"\n",
    "pathlist = os.listdir(root) # 获取路径下所有数据文件\"\n",
    "\n",
    "random.shuffle(pathlist)\n",
    "test_set=[]\n",
    "for i in range (0,12):\n",
    "    filepath=root+'\\\\'+pathlist[i]\n",
    "    s=pathlist[i]\n",
    "    n=(re.split('_',s))[0]\n",
    "    #target=num_bool_dict[int(n)]\n",
    "    input=np.array(file2matrix(filepath))\n",
    "    #print(filepath)\n",
    "    test_set.append(input)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a=test_set[0]\n",
    "show_nparray(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=(np.random.rand(2,2))>0.5\n",
    "mask=np.repeat((np.repeat(x,7,axis=0)),7,axis=1)\n",
    "show_nparray(mask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in test_set:\n",
    "    show_nparray(i)\n",
    "    \n",
    "    \n",
    "    \n",
    "    res=boolean.convolution(boolean.otimes_bv_bv,i,mask)\n",
    "    show_nparray(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5, 5)"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "a=(np.random.rand(16,16))>0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_nparray(a)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAEICAYAAACHyrIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAABYVJREFUeJzt3DGontUdx/HfP2ST2oBBbIo6SAfBinSwU3ESM7g4iEsouncqBDrqUJxaC46dxFgUtXTpEAIdBBEEIYMEIY2g0qhoJUahCiXH4b5Dam9KUu/Nvfn5+UyX8zzvueeB98s5cN/7zlorQI8De70AYGeJGsqIGsqIGsqIGsqIGsqIGsqIGsqI+ntoZg5ezRg3JlEXmZnfzMy5mfliZs7MzCOb8cdn5vWZeWZmPkvy5BXG7pqZv83MP2fm05l5YWYObeY4PjOvfuv3PTszf7j+T8r/Iuou55L8IskPkzyV5MTM/Ghz7edJ3k1ya5LfXmFskjyd5EiSu5PcnuTJzb0nkhy9LPKDSR5L8vyuPhHXTNRF1lovr7XOr7UurbVeSnI2yf2by+fXWs+utf691vrXdmNrrb+vtU6ttb5ea32S5PdJHtjM/WGS15I8unnt0SSfrrXeun5PyNUQdZGZ+eXMnJ6ZCzNzIck9SQ5vLn+wzUv+Y2xmbp2ZF2fmHzNzMVu78+HLbnkuybHNz8dil96XRF1iZu5M8sckv0pyy1rrUJK3s3WkTpLt/h3v22NPb8buXWvdnK1w57Lrf0ly78zck+ThJC/s3BOwU0Td46ZsBflJkszME9naqa/FD5J8meTCzPw4yfHLL661vkrySpI/JXlzrfX+d100O0/UJdZaZ5L8LskbST5O8tMkr1/jNE8l+VmSz5P8Ncmft7nnuc3cjt771PiSBK7FzNyR5J0kt621Lu71evhvdmqu2swcSPLrJC8Kev/yKSKuyszclK1j/XvZ+nMW+5TjN5Rx/IYyu3L8fvDAo7Z/vpOT50/v9RL2vQO3nZ1tx6/3QoDdJWooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooM2utHZ/00kc/2flJyzx05L69XgI3uFOXXp7txu3UUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUObgbkz60JH7dmPaKifPn97rJexr3kP/Pzs1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lBE1lJm11l6vAdhBdmooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2ooI2oo8w12+rsEZQN37AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAEICAYAAACHyrIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAABX5JREFUeJzt3E+o73Mex/HX+3R38qdI1xUWslBIFmY1WYmFjYVsJPZWSs2SxWSFKUsrYTLNkI2FlIWSUuouJHVRyGXypzsolHxmcX6Li8Ocm3PuOV7zeKxOn8/39zmf7+LZ51Pnz6y1AvTYOugNAHtL1FBG1FBG1FBG1FBG1FBG1FBG1FBG1P+HZubIbsb4YxJ1kZn5y8y8NzNfz8zbM3P7ZvyemXltZh6bmS+TPPgrY1fOzCsz88XMfD4zz8zMBZs1HpiZ5372/R6fmb+d/Tflt4i6y3tJ/pzk/CQPJXl6Zi7ZzP0pyftJLk7y118ZmyQPJzmW5OoklyV5cPPs00luPS3yI0nuTPLUvr4RZ0zURdZa/1xrnVxr/bjW+keSE0lu3EyfXGs9vtb6Ya317U5ja61311ovr7W+X2t9luTRJDdt1v4kyatJ7th89tYkn6+13jx7b8huiLrIzNw9M8dn5tTMnEpyTZKLNtMf7fCRn4zNzMUz8+zMfDwzX2X7dL7otEeeTHLX5uu74pQ+lERdYmauSPJEkvuSXLjWuiDJW9m+UifJTn+O9/Oxhzdj1621zst2uHPa/AtJrpuZa5LcluSZvXsD9oqoe5yT7SA/S5KZuTfbJ/WZODfJN0lOzcylSR44fXKt9V2SfyX5e5I31lof/t5Ns/dEXWKt9XaSR5K8nuTfSa5N8toZLvNQkhuS/CfJi0me3+GZJzdru3ofUuOfJHAmZubyJO8kObrW+uqg98MvOanZtZnZSnJ/kmcFfXj5LSJ2ZWbOyfa1/oNs/ziLQ8r1G8q4fkOZfbl+37x1h+P/f3jp5PGD3gJ/cFtHT8yO42d7I8D+EjWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUETWUmbXWni/646dX7f2iZW45dv1Bb+FQe+nk8YPewqG3dfTE7Dh+tjcC7C9RQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQxlRQ5kj+7HoLceu349lgV1wUkMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUMZUUOZWWsd9B6APeSkhjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjL/Ba+TuQQHGcBUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAEICAYAAACHyrIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAABVlJREFUeJzt3Euo52Mcx/HPV7OTS5EYYSELhWTBSpZjYWMhm0nsrZSyZCErl7K0EiNyycZCykJJKTULSbkUMsilcSmU5rE4/8Xg0Exzxjk+Xq/V6Xl+/+c8v8W756lzmbVWgB5n7PYGgJ0laigjaigjaigjaigjaigjaigjaigj6v+hmdl3ImP8N4m6yMzcNzMfzcyPM/PezNy6Gb9zZt6cmUdn5rsk9//N2OUz8/rMfDsz38zMoZk5d7PGvTPz4p++3+Mz89i//6b8E1F3+SjJjUnOSfJAkqdn5qLN3A1JPk5yQZIH/2ZskjyUZH+SK5NckuT+zbNPJ7n5uMj3Jbk9yVOn9Y04aaIustZ6fq11ZK11bK31XJIPkly/mT6y1np8rfXbWuvn7cbWWh+utV5ba/261vo6ySNJbtqs/UWSN5LctvnszUm+WWu98++9ISdC1EVm5o6ZOTwzR2fmaJKrkpy/mf5sm4/8YWxmLpiZZ2fm85n5IVun8/nHPfJkkoObrw/GKb0nibrEzFyW5Ikkdyc5b611bpJ3s3WlTpLt/hzvz2MPbcauWWudna1w57j5l5NcMzNXJbklyaGdewN2iqh7nJmtIL9Okpm5K1sn9ck4K8lPSY7OzMVJ7j1+cq31S5IXkjyT5O211qenuml2nqhLrLXeS/JwkreSfJXk6iRvnuQyDyS5Lsn3SV5J8tI2zzy5WdvVe48a/ySBkzEzlyZ5P8mFa60fdns//JWTmhM2M2ckuSfJs4Leu/wWESdkZs7M1rX+k2z9OIs9yvUbyrh+Q5nTcv0+9uUVjn9OyYH91+72Fva81449P9uNO6mhjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihjKihzL7TseiB/deejmWrvHrk8G5vgVJOaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigjaigza63d3gOwg5zUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUOZ3HXeyd2I7joQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mask_set=[]\n",
    "for i in range (0,9):\n",
    "    x=(np.random.rand(3,3))>0.5\n",
    "    mask=np.repeat((np.repeat(x,3,axis=0)),3,axis=1)\n",
    "    mask_set.append(mask)\n",
    "    show_nparray(mask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "def multi_convolution(oa,mask_set):\n",
    "    rz=len(mask_set)\n",
    "    rx,ry=oa.shape\n",
    "    mx,my=mask_set[0].shape\n",
    "    \n",
    "    rx=rx-mx+1\n",
    "    ry=ry-my+1\n",
    "    temp=np.ones((rz,rx,ry))>0  \n",
    "    n=0\n",
    "\n",
    "    for i in mask_set:\n",
    "        res=boolean.convolution(boolean.otimes_bv_bv,oa,i)\n",
    "        show_nparray(res)\n",
    "        temp[n]=res\n",
    "        n=n+1\n",
    "    return temp\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAEICAYAAACHyrIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAABWFJREFUeJzt3Euo52Mcx/HPV7OTS5nECAtZqKHJgpUsx8LGQjYSeyulLGcWsnIpSyu5RC7ZWCkLJaWUhaRcCrllaFwKpXkszn8xOKOZHM7x8XqtTs/z+/3O81u8e5465/+ftVaAHmft9gKAnSVqKCNqKCNqKCNqKCNqKCNqKCNqKCPq/6GZ2Xc6Y/w3ibrIzNw3Mx/OzA8z8+7M3LIZv3NmXp+Zh2fm2yRHTjF2xcy8OjPfzMyxmXlqZs7fPOPemXnhD7/v0Zl55N9/U/6KqLt8mOSGJOclOZrkyZm5eDN3fZKPklyY5P5TjE2SB5IcSHJVkkuTHNlc+2SSm06KfF+S25I88Y++EWdM1EXWWs+ttT5fa51Yaz2b5P0k122mP19rPbrW+nWt9dN2Y2utD9Zar6y1fllrfZ3koSQ3bp79RZLXkty6ufemJMfWWm/9e2/I6RB1kZm5Y2benpnjM3M8ycEk+zfTn25zy+/GZubCmXlmZj6bme+ztTvvP+mSx5Pcvvn59til9yRRl5iZy5M8luTuJBestc5P8k62jtRJst3H8f449sBm7Jq11rnZCndOmn8pyTUzczDJzUme2rk3YKeIusfZ2Qry6ySZmbuytVOfiXOS/Jjk+MxckuTekyfXWj8neT7J00neXGt98ncXzc4TdYm11rtJHkzyRpKvklyd5PUzfMzRJNcm+S7Jy0le3OaaxzfPdvTeo8aXJHAmZuayJO8luWit9f1ur4c/s1Nz2mbmrCT3JHlG0HuX/yLitMzM2dk61n+crT9nsUc5fkMZx28o848cv098eaXtn1M6fODQbi+hwisnnpvtxu3UUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUEbUUGbfbi+AveHwgUO7vQR2iJ0ayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayogayuzb7QVwaocPHNrtJfAfZKeGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMqKGMrPW2u01ADvITg1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lRA1lfgMPqrCb4M/LyAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "res=multi_convolution(a,mask_set)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "576"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(res.flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
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